JEE Main 2025 Mathematics question

Let X = R × R. Define a relation R on X as: R . Statement-I: R is an equivalence relation. Statement-II: For some (a, b) X, the set S = {(x, y) X : (x, y) R (a, b)} represents a line parallel to y = x. In the light of the above statements, choose the correct answer from the options given below:

• (1)Both Statement-I and Statement-II are false.
• (2)Statement-I is true but Statement-II is false.Correct
• (3)Both Statement-I and Statement-II are true.
• (4)Statement-I is false but Statement-II is true.